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Simplifying 2x + 5 + 7x + 10 = 4x + 25 + x + 26 Reorder the terms: 5 + 10 + 2x + 7x = 4x + 25 + x + 26 Combine like terms: 5 + 10 = 15 15 + 2x + 7x = 4x + 25 + x + 26 Combine like terms: 2x + 7x = 9x 15 + 9x = 4x + 25 + x + 26 Reorder the terms: 15 + 9x = 25 + 26 + 4x + x Combine like terms: 25 + 26 = 51 15 + 9x = 51 + 4x + x Combine like terms: 4x + x = 5x 15 + 9x = 51 + 5x Solving 15 + 9x = 51 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 9x + -5x = 51 + 5x + -5x Combine like terms: 9x + -5x = 4x 15 + 4x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 4x = 51 + 0 15 + 4x = 51 Add '-15' to each side of the equation. 15 + -15 + 4x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 51 + -15 4x = 51 + -15 Combine like terms: 51 + -15 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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